2001011012021 has 8 divisors (see below), whose sum is σ = 2333540539200. Its totient is φ = 1715152295724.

The previous prime is 2001011012017. The next prime is 2001011012041. The reversal of 2001011012021 is 1202101101002.

It is not a de Polignac number, because 2001011012021 - 2² = 2001011012017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2001011011993 and 2001011012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001011012041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2916925331 + ... + 2916926016.

It is an arithmetic number, because the mean of its divisors is an integer number (291692567400).

Almost surely, 2^{2001011012021} is an apocalyptic number.

It is an amenable number.

2001011012021 is a deficient number, since it is larger than the sum of its proper divisors (332529527179).

2001011012021 is an frugal number, since it uses more digits than its factorization.

2001011012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833851368 (or 5833851354 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2001011012021 its reverse (1202101101002), we get a palindrome (3203112113023).

The spelling of 2001011012021 in words is "two trillion, one billion, eleven million, twelve thousand, twenty-one".